Lebesgue n. 勒贝格(著名数学家,实分析的开山之人)
- Topics include (1) Lebesgue and Hardy functional spaces, linear operators and norms;
主要内容有(1)勒贝格和哈代空间,线性算子和范数; - It does not assume acquaintance with either the Lebesgue integral or with functional analysis.
傅立叶级数的收敛性;傅立叶积分的应用; - This paper describes the feature of Riemann integratiable function, and point out that the space of Riemann integratiable function is not perfect under the meaning of Lebesgue integral.
在构造了完备化空间之后,证明了该空间就是勒贝格可积函数空间,从而说明了黎曼积分的完备化形式是勒贝格积分。
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